Question

The difference of two numbers is 30% of their sum.The ratio of the larger number
to the smaller number is​

Answer 1

Step-by-step explanation:

Let the numbers be p and q and p is greater than q.

Then p – q = 45% of (p + q)

⇒ p – q =

45

(p + q)

100

⇒ p – q =

9

(p + q)

20

⇒ 20p – 20q = 9p + 9q

⇒ 20p – 9q = 20q + 9q

⇒ 11p = 29q

⇒

p

=

29

or 29 : 11

q 11